A Chain Rule for Reduced Functional Differential Inclusions and Stability Theorems

Nurgul Gokgoz

Makale detayları

A Chain Rule for Reduced Functional Differential Inclusions and Stability Theorems

Yazarlar:

Nurgul Gokgoz

Yayıncı:

Karyay Karadeniz Yayımcılık

Ana Başlıklar:

Operatör Cebirleri ve Fonksiyonel Analiz | Matematiksel Yöntemler ve Özel Fonksiyonlar | Varyasyon Hesabı | Sistem Teorisinin Matematiksel Yönleri ve Kontrol Teorisi

Dergi:

Black Sea Journal of Engineering and Science Vol.8 Issue 5, pp.1556-1560

Belge Tipi:

Makale

Yayın Tarihi:

9/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001354566

pISSN:

2619-8991

Anahtar kelimeler:

Özet:

 In order to represent real-world problems, modeling and stability concepts of a system are two essential steps, and functional differential inclusions become favorable among other methods because of their flexibility and robustness to handle those problems. Thus, functional differential inclusions FDIs provide a solid foundation for engineering problems, and the calculation of their derivatives becomes an important issue in checking the stability of them. Especially, to check the Lyapunov stability, various chain rules for FDIs are defined in the literature. In this work, a new chain rule is introduced in terms of the reduction procedure, a comparison with another one is represented, and the stability theorems in terms of Lyapunov are extended to the reduced functional differential inclusions.

 In order to represent real-world problems, modeling and stability concepts of a system are two essential steps, and functional differential inclusions become favorable among other methods because of their flexibility and robustness to handle those problems. Thus, functional differential inclusions FDIs provide a solid foundation for engineering problems, and the calculation of their derivatives becomes an important issue in checking the stability of them. Especially, to check the Lyapunov stability, various chain rules for FDIs are defined in the literature. In this work, a new chain rule is introduced in terms of the reduction procedure, a comparison with another one is represented, and the stability theorems in terms of Lyapunov are extended to the reduced functional differential inclusions.

 In order to represent real-world problems, modeling and stability concepts of a system are two essential steps, and functional differential inclusions become favorable among other methods because of their flexibility and robustness to handle those problems. Thus, functional differential inclusions FDIs provide a solid foundation for engineering problems, and the calculation of their derivatives becomes an important issue in checking the stability of them. Especially, to check the Lyapunov stability, various chain rules for FDIs are defined in the literature. In this work, a new chain rule is introduced in terms of the reduction procedure, a comparison with another one is represented, and the stability theorems in terms of Lyapunov are extended to the reduced functional differential inclusions.

 In order to represent real-world problems, modeling and stability concepts of a system are two essential steps, and functional differential inclusions become favorable among other methods because of their flexibility and robustness to handle those problems. Thus, functional differential inclusions FDIs provide a solid foundation for engineering problems, and the calculation of their derivatives becomes an important issue in checking the stability of them. Especially, to check the Lyapunov stability, various chain rules for FDIs are defined in the literature. In this work, a new chain rule is introduced in terms of the reduction procedure, a comparison with another one is represented, and the stability theorems in terms of Lyapunov are extended to the reduced functional differential inclusions.

Makale detayları

A Chain Rule for Reduced Functional Differential Inclusions and Stability Theorems

Yazarlar:

Nurgul Gokgoz

Yayıncı:

Karyay Karadeniz Yayımcılık

Ana Başlıklar:

Operatör Cebirleri ve Fonksiyonel Analiz | Matematiksel Yöntemler ve Özel Fonksiyonlar | Varyasyon Hesabı | Sistem Teorisinin Matematiksel Yönleri ve Kontrol Teorisi

Dergi:

Black Sea Journal of Engineering and Science Vol.8 Issue 5, pp.1556-1560

Belge Tipi:

Makale

Yayın Tarihi:

9/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001354566

pISSN:

2619-8991

Functional differential inclusions

Set-valued analysis

Convex analysis

StabilityFunctional differential inclusions

Set-valued analysis

Convex analysis

Stability

Sayı

Makale detayları

Yazarlar: Nurgul Gokgoz

Yayıncı: Karyay Karadeniz Yayımcılık

Ana Başlıklar: Operatör Cebirleri ve Fonksiyonel Analiz | Matematiksel Yöntemler ve Özel Fonksiyonlar | Varyasyon Hesabı | Sistem Teorisinin Matematiksel Yönleri ve Kontrol Teorisi

Dergi: Black Sea Journal of Engineering and Science Vol.8 Issue 5, pp.1556-1560

Belge Tipi: Makale

Yayın Tarihi: 9/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001354566

pISSN: 2619-8991

Sayı

Yazarlar:

Nurgul Gokgoz

Yayıncı:

Karyay Karadeniz Yayımcılık

Ana Başlıklar:

Operatör Cebirleri ve Fonksiyonel Analiz | Matematiksel Yöntemler ve Özel Fonksiyonlar | Varyasyon Hesabı | Sistem Teorisinin Matematiksel Yönleri ve Kontrol Teorisi

Dergi:

Black Sea Journal of Engineering and Science Vol.8 Issue 5, pp.1556-1560

Belge Tipi:

Makale

Yayın Tarihi:

9/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001354566

pISSN:

2619-8991